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Dissipativity Based Stability of Switched Systems with State-dependent Switchings

Zhao, Jun; Hill, David

Description

Stability problem of switched systems with state-dependent switchings is addressed. Sufficient conditions for stability are presented using dissipativity property of subsystems on their active regions. In these conditions, each storage function of a subsystem is allowed to grow on the "switched on" time sequence but the total growth is bounded in certain ways. Asymptotic stability is achieved under further assumptions of a detectability property of a local form and boundedness of the total...[Show more]

dc.contributor.authorZhao, Jun
dc.contributor.authorHill, David
dc.coverage.spatialNew Orleans USA
dc.date.accessioned2015-12-07T22:48:12Z
dc.date.createdDecember 12-14 2007
dc.identifier.isbn1424414989
dc.identifier.urihttp://hdl.handle.net/1885/26388
dc.description.abstractStability problem of switched systems with state-dependent switchings is addressed. Sufficient conditions for stability are presented using dissipativity property of subsystems on their active regions. In these conditions, each storage function of a subsystem is allowed to grow on the "switched on" time sequence but the total growth is bounded in certain ways. Asymptotic stability is achieved under further assumptions of a detectability property of a local form and boundedness of the total change of some storage function on its inactive intervals. A necessary and sufficient condition for all subsystems to be dissipative on their active regions is given and a state-dependent switching law is designed. As a particular case, localized Kalman-Yakubovich-Popov conditions are derived for passivity. A condition for piecewise dissipativity property and a design method of switching laws are also proposed.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.relation.ispartofseriesIEEE Conference on Decision and Control 2007
dc.sourceProceedings of the 46th IEEE Conference on Decision and Control 2007
dc.subjectKeywords: Asymptotic stability; Energy dissipation; Problem solving; Switching; System stability; Dissipativity property; Kalman-Yakubovich-Popov conditions; State-dependent switchings; Storage functions; Switching systems
dc.titleDissipativity Based Stability of Switched Systems with State-dependent Switchings
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2007
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationu4334215xPUB44
local.type.statusPublished Version
local.contributor.affiliationZhao, Jun, College of Engineering and Computer Science, ANU
local.contributor.affiliationHill, David, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage4027
local.bibliographicCitation.lastpage4032
local.identifier.doi10.1109/CDC.2007.4434043
dc.date.updated2016-02-24T11:00:43Z
local.identifier.scopusID2-s2.0-62749205041
CollectionsANU Research Publications

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